Non-Abelian bubbles in microstate geometries

TL;DR

This paper introduces the first smooth microstate geometries with non-Abelian fields, extending known solutions by incorporating non-Abelian topological charges that influence bubble sizes and allow for infinitely many microstates with black hole or black ring asymptotics.

Contribution

It presents the first smooth supersymmetric microstate geometries with non-Abelian fields, expanding the landscape of microstate solutions in supergravity theories.

Findings

Non-Abelian fields affect bubble sizes via topological charge.

Solutions have the same asymptotics as black holes or rings.

Infinite class of microstates with adjustable parameters.

Abstract

We find the first smooth microstate geometries with non-Abelian fields. The solutions constitute an extension of the BPS three-charge smooth microstates. These consist in general families of regular supersymmetric solutions with non-trivial topology, i.e. bubbles, of $\mathcal{N}=1$, $d=5$ Super-Einstein-Yang-Mills theory, having the asymptotic charges of a black hole or black ring but with no horizon. The non-Abelian fields make their presence at the very heart of the microstate structure: the physical size of the bubbles is affected by the non-Abelian topological charge they carry, which combines with the Abelian flux threading the bubbles to hold them up. Interestingly the non-Abelian fields carry a set of adjustable continuous parameters that do not alter the asymptotics of the solutions but modify the local geometry. This feature can be used to obtain a classically infinite number of microstate solutions with the asymptotics of a single black hole or black ring.